Answer:
x = 5
Step-by-step explanation:
I'm assuming that 3x +1 & 4x + 5 are all underneath the square root
2 √3x + 1 - √4x + 5 = 3
2 √3x + 1 = 3 + √4x + 5
4 (3x+1) = 9 + 6 √4x + 5 + 4x + 5
12x + 4 = 14 + 6√4x + 5 + 4x
-6 √4x + 5 = 14 + 4x - 12x - 4
-6 √4x + 5 = 10 - 8x
3 √4x + 5 = -5 + 4x (divided both sides by - 2)
9 (4x +5) = 16x^2 - 40x + 25
36x + 45 = 16x^2 - 40x + 25
36x + 45 - 16x^2 + 40x - 25 = 0
76x + 20 - 16x^2 = 0
-16x^2 + 76x + 20 = 0
4x^2 - 19x -5 = 0 (dividied by -4)
4x^2 + x - 20x -5 = 0
x (4x + 1) -5 (4x +1) = 0
(4x +1) (x-5) = 0
Possible answers:
4x + 1 = 0
x - 5 = 0
x = -1/4
x =5
Now we will check which one satisfies the equation
2√3x+1 - √4x+5
Substitue 5 for x and we get 3
Thus we know that 5 is the correct answer
Answered by Gauthmath
